A Note on the Principle of Maximum Dissipation Rate

[+] Author and Article Information
F. D. Fischer

 Institute of Mechanics, Montanuniversität Leoben, Franz-Josef-Straße 18, A-8700 Leoben, Austria, Erich Schmid Institute for Materials Science, Austrian Academy of Sciences, Jahnstrasse 12, A-8700 Leoben, Austriamechanik@unileoben.ac.at

J. Svoboda

Institute of Physics of Materials, Academy of Sciences of the Czech Republic, Žižkova 22, CZ-616 62, Brno, Czech Republicsvobj@ipm.cz

J. Appl. Mech 74(5), 923-926 (Dec 28, 2006) (4 pages) doi:10.1115/1.2722304 History: Received July 05, 2005; Revised December 28, 2006

The Principle of Maximum Dissipation Rate (PMD) can be exploited to derive homogeneous kinetic rate laws for the internal variables. A “normality structure” expressing the rates of the internal variables as normal to convex functions (entropy production rate, dissipation function as flow potentials) in the space of the conjugate thermodynamic forces is a direct consequence of the PMD. This paper can be considered as a note to Yang, 2005, ASME J. Appl. Mech., 72, pp. 322–329.

Copyright © 2007 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Identifying the position of the maximum QM of Q in the ξ̃̇1, ξ̃̇2 plane; the lines ηp=const. and p2=const. are contour lines of the function to be maximized along C

Grahic Jump Location
Figure 2

Inclined projection of the function of the entropy production rate ηp with its maximum along C



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